Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
15912h |
Isogeny class |
Conductor |
15912 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
82034125056 = 28 · 38 · 132 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7959,-272950] |
[a1,a2,a3,a4,a6] |
Generators |
[7447:642600:1] |
Generators of the group modulo torsion |
j |
298766385232/439569 |
j-invariant |
L |
5.2216238980634 |
L(r)(E,1)/r! |
Ω |
0.50550249373383 |
Real period |
R |
5.1647854983805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31824n2 127296j2 5304k2 |
Quadratic twists by: -4 8 -3 |